A simple proof of Debreu’s Gap Lemma
Debreu’s Gap Lemma is central to the proof of his fundamental result on the existence of continuous utility functions. A short proof based on a standard textbook construction of utility functions on countable linearly ordered sets is presented here. The proof is accessible to students with limited m...
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| Format: | Article |
| Language: | English |
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Operations Research Society of South Africa (ORSSA)
2010-06-01
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| Series: | ORiON |
| Online Access: | http://orion.journals.ac.za/pub/article/view/83 |